一类8次对称牛顿系统周期函数的单调性和凸性

IF 1.1 Q2 MATHEMATICS, APPLIED Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI:10.22034/CMDE.2020.41241.1792

R. Kazemi, M. H. Akrami

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引用次数: 0

摘要

在本文中，我们研究了与一类特定的8次对称牛顿系统的中心相关的周期函数的单调性和凸性。在这方面，我们证明了如果周期环只围绕一个初等中心，那么相应的周期函数是单调的；但是，对于其他情况，周期函数只有一个临界点。我们还证明了在所有情况下，周期函数都是凸的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8

In this paper, we study the monotonicity and convexity of the period function associated with centers of a specific class of symmetric Newtonian systems of degree 8. In this regard, we prove that if the period annulus surrounds only one elementary center, then the corresponding period function is monotone; but, for the other cases, the period function has exactly one critical point. We also prove that in all cases, the period function is convex.

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